OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Steven A. Burns
  • Vol. 24, Iss. 9 — Sep. 1, 2007
  • pp: 2590–2603

Propagation of partially coherent fields through planar dielectric boundaries using angle-impact Wigner functions I. Two dimensions

Jonathan C. Petruccelli and Miguel A. Alonso  »View Author Affiliations


JOSA A, Vol. 24, Issue 9, pp. 2590-2603 (2007)
http://dx.doi.org/10.1364/JOSAA.24.002590


View Full Text Article

Enhanced HTML    Acrobat PDF (752 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We examine the angle-impact Wigner function (AIW) as a computational tool for the propagation of nonparaxial quasi-monochromatic light of any degree of coherence past a planar boundary between two homogeneous media. The AIWs of the reflected and transmitted fields in two dimensions are shown to be given by a simple ray-optical transformation of the incident AIW plus a series of corrections in the form of differential operators. The radiometric and leading six correction terms are studied for Gaussian Schell-model fields of varying transverse width, transverse coherence, and angle of incidence.

© 2007 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.5620) Coherence and statistical optics : Radiative transfer
(030.5630) Coherence and statistical optics : Radiometry

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: March 9, 2007
Revised Manuscript: April 17, 2007
Manuscript Accepted: April 19, 2007
Published: July 23, 2007

Citation
Jonathan C. Petruccelli and Miguel A. Alonso, "Propagation of partially coherent fields through planar dielectric boundaries using angle-impact Wigner functions I. Two dimensions," J. Opt. Soc. Am. A 24, 2590-2603 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-9-2590


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A.Friberg, ed., Selected Papers on Coherence and Radiometry, Vol. MS69 of Milestone Series (SPIE, 1993).
  2. G. I. Ovchinnikov and V. I. Tatarskii, "On the problem of the relationship between coherence theory and the radiation-transfer equation," Radiophys. Quantum Electron. 15, 1087-1089 (1972). [CrossRef]
  3. H. M. Pedersen, "Exact geometrical description of free space radiative energy transfer for scalar wavefields," in Coherence and Quantum Optics VI, J.H.Eberly, L.Mandel, and E.Wolf, eds. (Plenum, 1990), pp. 883-887. [CrossRef]
  4. R. G. Littlejohn and R. Winston, "Corrections to classical radiometry," J. Opt. Soc. Am. A 10, 2024-2037 (1993). [CrossRef]
  5. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995), pp. 287-307.
  6. E. Wigner, "On the quantum correction for thermodynamic equilibrium," Phys. Rev. 40, 749-759 (1932). [CrossRef]
  7. M.E.Testorf, J.Ojeda-Castanẽda, and A.W.Lohmann, eds., Selected Papers on Phase-Space Optics, Vol. MS181 of Milestone Series (SPIE, 2006).
  8. L. S. Dolin, "Beam description of weakly-inhomogeneous wave fields," Izv. Vyssh. Uchebn. Zaved., Radiofiz. 7, 559-563 (1964).
  9. A. Walther, "Radiometry and coherence," J. Opt. Soc. Am. 58, 1256-1259 (1968). [CrossRef]
  10. A. T. Friberg, G. S. Agarwal, J. T. Foley, and E. Wolf, "Statistical wave-theoretical derivation of the free-space transport equation of radiometry," J. Opt. Soc. Am. B 9, 1386-1393 (1992). [CrossRef]
  11. K. B. Wolf, M. A. Alonso, and G. W. Forbes, "Wigner functions for Helmholtz wave fields," J. Opt. Soc. Am. A 16, 2476-2487 (1999). [CrossRef]
  12. M. A. Alonso, "Radiometry and wide-angle fields I. Coherent fields in two dimensions," J. Opt. Soc. Am. A 18, 902-909 (2001). [CrossRef]
  13. M. A. Alonso, "Radiometry and wide-angle wave fields. II. Coherent fields in three dimensions," J. Opt. Soc. Am. A 18, 910-918 (2001). [CrossRef]
  14. M. A. Alonso, "Radiometry and wide-angle wave fields III: partial coherence," J. Opt. Soc. Am. A 18, 2502-2511 (2001). [CrossRef]
  15. M. A. Alonso, "Exact description of free electromagnetic wave fields in terms of rays," Opt. Express 23, 3128-3135 (2003). [CrossRef]
  16. M. A. Alonso, "Wigner functions for nonparaxial, arbitrarily polarized, electromagnetic wave fields in free space," J. Opt. Soc. Am. A 21, 2233-2243 (2004). [CrossRef]
  17. L. E. Vicent and M. A. Alonso, "Generalized radiometry as a tool for the propagation of partially coherent fields," Opt. Commun. 207, 101-112 (2002). [CrossRef]
  18. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999), pp. 40-43.
  19. F. Goos and H. Hänchen, "Ein neuer und fundamentaler Versuch zur Totalreflexion," Ann. Phys. 436, 333-346 (1947). [CrossRef]
  20. See Ref. , pp. 252-256, 276-287.
  21. The limits of l¯ have this dependence on ϵ so that the sampling density varies with the AIWs width in l¯.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited